Lattice Theory: Minkowski's Theorems

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (31)

Lebesgue Measure: Properties and Existence Log in to Mediaspace to watch this video

Covers the properties of the Lebesgue measure and its existence.

Hermite Normal Form: Computation & Properties Log in to Mediaspace to watch this video

Covers the computation and properties of the Hermite Normal Form (HNF) in matrix theory and lattice theory.

Riemann Integral: Properties and Characterization Log in to Mediaspace to watch this video

Explores the properties and characterization of the Riemann integral on different sets and measurable sets.

Advanced analysis II Log in to Mediaspace to watch this video

Covers Jordan-measurable sets, Riemann-integrability, and function continuity on compact sets.

Analysis: Measure and Integration Log in to Mediaspace to watch this video

Introduces the course on measure and integration, focusing on developing a new theory to overcome the limitations of the Riemann integral.

Advanced Analysis II: Consequences of Double Integrals Log in to Mediaspace to watch this video

Explores the consequences of double integrals, including compact sets and continuity.

Measurable Sets: Countable Additivity Log in to Mediaspace to watch this video

Explores the countable additivity of measurable sets and the properties of sigma algebra, highlighting the significance of understanding measurable functions in analysis.

Number Fields: Embeddings and Ideal Classes Log in to Mediaspace to watch this video

Covers the embeddings of number fields and ideal classes with proofs and examples.

Lattices: Theory and Applications Log in to Mediaspace to watch this video

Explores the theory of lattices, their properties, and applications in different mathematical contexts, emphasizing local-global principles.

Diophantine Approximation: Minbowski's Theorem Log in to Mediaspace to watch this video

Covers Minbowski's Theorem on Diophantine Approximation and Gram-Schmidt orthogonalization.

Canonical Embedding: Fields and Lattices Log in to Mediaspace to watch this video

Explores canonical embedding of #-fields, lattices, and finiteness of class groups.

Page 2 of 2